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April 17, 2014

April 17, 2014

Posted by **Anonymous** on Wednesday, April 6, 2011 at 2:00am.

- calculus -
**drwls**, Wednesday, April 6, 2011 at 6:43amDifferentiate P(t) to obtain the derivative P'(t).

P'(t) = -100 e^-t + 400 e^(-4t)

The maximum will occur where P'(t) = 0

e^-t = 4e^-4t

1 = 4 e^-3t

There will be one such point within 3 hours.

- calculus -
**drwls**, Wednesday, April 6, 2011 at 6:44amDifferentiate P(t) to obtain the derivative P'(t).

P'(t) = -100 e^-t + 400 e^(-4t)

The maximum will occur where P'(t) = 0

e^-t = 4e^-4t

1 = 4 e^-3t

There will be one such point within 3 hours.

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